11240133420465 has 20 divisors (see below), whose sum is σ = 20148979910004. Its totient is φ = 5994737824032.

The previous prime is 11240133420437. The next prime is 11240133420473. The reversal of 11240133420465 is 56402433104211.

11240133420465 is a `hidden beast` number, since 1 + 1 + 2 + 40 + 133 + 4 + 20 + 465 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3236145547041 + 8003987873424 = 1798929^2 + 2829132^2 .

It is not a de Polignac number, because 11240133420465 - 2¹⁷ = 11240133289393 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13876707522 + ... + 13876708331.

Almost surely, 2^{11240133420465} is an apocalyptic number.

11240133420465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11240133420465 is a deficient number, since it is larger than the sum of its proper divisors (8908846489539).

11240133420465 is an equidigital number, since it uses as much as digits as its factorization.

11240133420465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27753415870 (or 27753415861 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 11240133420465 its reverse (56402433104211), we get a palindrome (67642566524676).

The spelling of 11240133420465 in words is "eleven trillion, two hundred forty billion, one hundred thirty-three million, four hundred twenty thousand, four hundred sixty-five".